This week I learned about Intercepts. An intercept is when the X or Y axis are at zero on the graph. For an X intercept it is the point on the graph where the line crosses the x-axis, while for the Y intercept it is where a point crosses the y-axis. For an equation to find the x intercept you can plug in zero for “y” and solve for “x”, then do the opposite with “y” by plugging in zero for “x” then solving for “Y”.

 

Example: 6x + 2y = 18

X-intercept:       Y= 0                                        y-intercept:        X= 0

6x + 2(0) = 18                                                     6(0) + 2y = 18

6x =18                                                                   2y = 18

x= 3                                                                        y = 9

X-intercept: (3, 0)                                             y-intercept: (0, 9)